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How do i find the domain and range of any equation?
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WinpossibleUser3703
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how do i find the domain and range of any equation?
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Responses
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Winpossible
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Sep 01, 10 07:57AM PST
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For a given function y = f(x)
Domain of this function
Domain of f is the set of all real numbers variable x can take such that the expression defining the function is real.
So if you see any term of x in square-root then function will remain real as long as the term in the square-root is > or = 0, then you can use this to find the domain of a function or if there is any term of x in the denominator then the function will remain real, only if denominator is not equal to 0, so you can also use this to find the domain.
Range of a this function
The range of f is the set of all values that the function takes when x takes values in the domain.
So using the maximum and the minimum value of x from its domain we will find the possible values of y and this will give us the range of the function. |
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View chat between User and Winpossible
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Winpossible
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Sep 01, 10 09:13AM PST
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More to the above answer:
Let's say we have a funtion y = f(x) = x^2 + 3.
As long as x is a real number, y is always going to be a real number as well, hence the domain of this function is (-inf, + inf).
Also, for all values of x, x^2 is going to be 0 or higher, hence the minimum value of y will be 3 and maximum would be infinity. So range of this function is [3, +inf)
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Winpossible
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Sep 01, 10 09:36AM PST
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